Rational vs Irrational Number Evaluation

Very Hard Number And Operations Rational And Irrational Numbers

A number is defined as a rational number if it can be expressed as a fraction of two integers, where the denominator is not zero. An irrational number, on the other hand, cannot be represented as such a fraction. Consider the following equation:

$$ x = 5 +\frac{2}{3} +\frac{4}{7} $$

Which of the following statements about the number $$ x $$ is true?

$$ x $$ is a rational number because it is a sum of rational numbers.

$$ x $$ is an irrational number because it involves fractions.

$$ x $$ cannot be determined without calculating its decimal representation.

$$ x $$ is an irrational number as it contains a non-integer part.

$$ x $$ is an integer.

Hint

Submitted1.7K

Correct1.0K

% Correct62%